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Higher Hida and Coleman theories on the modular curve
File(s)
2002.06845.pdf (622.29 KB)
Published version
OA Location
Author(s)
Boxer, George
Pilloni, Vincent
Type
Journal Article
Abstract
We construct Hida and Coleman theories for the degree 0 and 1 cohomology of automorphic line bundles on the modular curve and we define a p-adic duality pairing between the theories in degree 0 and 1.
Date Issued
2022-09-13
Date Acceptance
2022-09-13
Citation
Épijournal de Géométrie Algébrique, 2022, 6, pp.1-33
URI
URL
DOI
ISSN
2491-6765
Publisher
Association Epiga
Start Page
1
End Page
33
Journal / Book Title
Épijournal de Géométrie Algébrique
Volume
6
Copyright Statement
© by the author(s). This work is licensed under http://creativecommons.org/licenses/by-sa/4.0/
License URL
Subjects
Hida and Coleman theories
Mathematics
modular curves
p-adic modular forms
Physical Sciences
SCHEMES
Science & Technology
SERRE-DUALITY
SHEAVES
SPACES
Publication Status
Published
Article Number
6112
Date Publish Online
2022-09-13